Index
A
Abelian group, 242
Addition Rule, 166, 168
Atomic density in Crystals, 114
B
Basis, 3, 7, 8, 18, 54, 55, 95, 109, 163, 210,
272, 274, 301
Bragg’s Law, 273, 302, 304, 337, 353, 357,
359
Bravais lattice, 18
Brillouin zone, 67, 68, 70–73, 77, 79, 81, 90
C
Center of symmetry, 211, 214–216, 218, 221,
327
Close packing of identical atoms, 18, 26, 28
Crystal
directions, 163
planes, 49, 52, 65, 66, 90, 117–119, 149,
150, 154, 157, 163, 164, 180, 182, 184,
186, 188, 191, 273, 278, 280, 285, 294,
364, 378
structure, 97, 116–120, 122, 123, 125, 126,
276, 317, 318, 326, 337–339, 347, 348,
352, 354, 367, 370–374
system, 6, 7, 16–18, 20–25, 35, 36, 52, 73,
95, 96, 111, 122, 123, 143, 144, 149,
151, 153, 156, 157, 161, 162, 170–174,
182, 193, 202, 226–228, 364
Crystallographic axes, 99, 102, 139, 140,
145–148, 169, 170, 223, 228–231, 274,
359
Cyclic group, 242, 243
D
Diffraction methods, 284, 339
E
Electron diffraction, 284, 286, 296
Elementary group theory, 238
F
Fermi surface, 81
Finite group, 246
Fractional coordinates, 95–103, 105–108,
127–129, 145, 148, 300, 301, 304, 307,
309–311, 313, 315, 317, 318, 320–322,
324, 326
G
Group
abelian, 242
cyclic, 242, 243
multiplication table, 244–246, 248, 249
order of, 240
H
Hermann-Mauguin notation, 209
Hexagonal lattice, 5, 21, 35, 46, 58, 74, 79, 87,
88, 90, 91, 97, 121, 127, 134, 135, 187,
195, 198
I
Identity operation, 97
Indices of
atomic sites, 137
directions, 137, 143, 146–149, 193, 198
planes, 137, 149, 193, 319
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Singapore Pte Ltd. 2021
M. A. Wahab, Numerical Problems in Crystallography,
https://doi.org/10.1007/978-981-15-9754-1
385
A
Abelian group, 242
Addition Rule, 166, 168
Atomic density in Crystals, 114
B
Basis, 3, 7, 8, 18, 54, 55, 95, 109, 163, 210,
272, 274, 301
Bragg’s Law, 273, 302, 304, 337, 353, 357,
359
Bravais lattice, 18
Brillouin zone, 67, 68, 70–73, 77, 79, 81, 90
C
Center of symmetry, 211, 214–216, 218, 221,
327
Close packing of identical atoms, 18, 26, 28
Crystal
directions, 163
planes, 49, 52, 65, 66, 90, 117–119, 149,
150, 154, 157, 163, 164, 180, 182, 184,
186, 188, 191, 273, 278, 280, 285, 294,
364, 378
structure, 97, 116–120, 122, 123, 125, 126,
276, 317, 318, 326, 337–339, 347, 348,
352, 354, 367, 370–374
system, 6, 7, 16–18, 20–25, 35, 36, 52, 73,
95, 96, 111, 122, 123, 143, 144, 149,
151, 153, 156, 157, 161, 162, 170–174,
182, 193, 202, 226–228, 364
Crystallographic axes, 99, 102, 139, 140,
145–148, 169, 170, 223, 228–231, 274,
359
Cyclic group, 242, 243
D
Diffraction methods, 284, 339
E
Electron diffraction, 284, 286, 296
Elementary group theory, 238
F
Fermi surface, 81
Finite group, 246
Fractional coordinates, 95–103, 105–108,
127–129, 145, 148, 300, 301, 304, 307,
309–311, 313, 315, 317, 318, 320–322,
324, 326
G
Group
abelian, 242
cyclic, 242, 243
multiplication table, 244–246, 248, 249
order of, 240
H
Hermann-Mauguin notation, 209
Hexagonal lattice, 5, 21, 35, 46, 58, 74, 79, 87,
88, 90, 91, 97, 121, 127, 134, 135, 187,
195, 198
I
Identity operation, 97
Indices of
atomic sites, 137
directions, 137, 143, 146–149, 193, 198
planes, 137, 149, 193, 319
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Singapore Pte Ltd. 2021
M. A. Wahab, Numerical Problems in Crystallography,
https://doi.org/10.1007/978-981-15-9754-1
385